If $\frac{\large d}{\large dx}f(x)=4x^3-\frac{\large 3}{\large x^4}$ such that $f(2)=0$.Then $f(x)$ is

Question

$\begin{array}{1 1}(A)\;x^4+\frac{1}{x^3}-\frac{129}{8} & (B)\;x^3+\frac{1}{x^4}+\frac{129}{8}\\(C)\;x^4+\frac{1}{x^3}+\frac{129}{8} & (D)\;x^3+\frac{1}{x^4}-\frac{129}{8}\end{array}$